Some properties of continuous linear operators in topological vector PN-spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 7، دوره 1، شماره 1، 2010، صفحه 58-64 اصل مقاله (192.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2010.69 | ||
| نویسندگان | ||
| M. B. Ghaemi* 1؛ L. Guillen2؛ S. Saiedinezhad3 | ||
| 1Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran. | ||
| 2Departamento de Estadistica Ymatem'atica Aplicada, Universidad de Almeria, e-04120, Spain | ||
| 3Department of Mathematics Iran University of Science and Technology, Narmak, Tehran, Iran. | ||
| چکیده | ||
| The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are topological vector spaces and the open mapping and closed graph Theorems in this spaces are proved. | ||
| کلیدواژهها | ||
| continuous linear map؛ homomorphism؛ Triangular function؛ topological vector space | ||
| مراجع | ||
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